17 mechanical spheres of radius 10cm is melted and then recast into small cones each of radius 3.5cm and height 3cm. Find how many cones are obtained.
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Given that a solid sphere of radius =8 cm
With this sphere, we have to make spherical balls = 1 cm
Since we don’t know number of balls let us assume that number of balls be n
We know that,
Volume of the sphere = 43∏r3
The volume of the solid sphere equal to sum of the n spherical balls.
= n(43∏13)= 43∏r3
= n= 8³ =n= 512
Hence 512 numbers of balls can be made of radius 1 cm of a solid sphere of radius 8 cm.
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